Use the Following Information for the Question $\mathrm { F } = 5.21104034$

question 32

Multiple Choice

Use the following information for the question. Researchers conducted a study that examined marital status and stress levels.
A hypothesis test was conducted to test the claim that people with different marital statuses have a different mean stress
level. The TI-84 output for the test is shown below. One-way ANOVA
$\mathrm { F } = 5.21104034$
$P = .0105994136$
Factor
$\mathrm { df } = 3$
$\mathrm { SS } = 76.7$
$\mathrm { MS } = 25.5666667$
-State the null and alternative hypothesis.

• A) \(\mathrm { H } _ { 0 }\) : Marital status and stress levels are associated.
• \(\mathrm { H } _ { \mathrm { a } }\) : Marital status and stress levels are not associated.
• B) \(\mathrm { H } _ { 0 }\) : There is no difference in the mean stress levels of married and unmarried people. \(\mathrm { H } _ { \mathrm { a } }\) : There is a difference in the mean stress levels of married and unmarried people.
• C) \(\mathrm { H } _ { 0 }\) : Marital status and stress levels are not associated.
• \(\mathrm { H } _ { \mathrm { a } }\) : Mean stress levels of married people are greater than the mean stress levels of unmarried people.
• D) \(\mathrm { H } _ { 0 }\) : Marital status and stress levels are not associated.
• \(\mathrm { H } _ { \mathrm { a } }\) : Marital status and stress levels are associated.

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Definitions:

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